Information on Result #617459
Linear OA(2741, 531442, F27, 11) (dual of [531442, 531401, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2746, 531470, F27, 11) (dual of [531470, 531424, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2747, 531480, F27, 11) (dual of [531480, 531433, 12]-code) | [i] | ||
| 3 | Linear OA(2748, 532145, F27, 11) (dual of [532145, 532097, 12]-code) | [i] | ||
| 4 | Linear OA(2750, 532172, F27, 11) (dual of [532172, 532122, 12]-code) | [i] | ||
| 5 | Linear OA(2750, 532173, F27, 11) (dual of [532173, 532123, 12]-code) | [i] | ||
| 6 | Linear OA(2750, 531454, F27, 11) (dual of [531454, 531404, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 7 | Linear OA(2749, 531498, F27, 11) (dual of [531498, 531449, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(2750, 531508, F27, 11) (dual of [531508, 531458, 12]-code) | [i] | ||
| 9 | Linear OA(2746, 531448, F27, 11) (dual of [531448, 531402, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(2750, 531451, F27, 13) (dual of [531451, 531401, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(2742, 531451, F27, 11) (dual of [531451, 531409, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(2760, 531461, F27, 15) (dual of [531461, 531401, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(2744, 531461, F27, 11) (dual of [531461, 531417, 12]-code) | [i] | ✔ | |
| 14 | Linear OA(2770, 531470, F27, 17) (dual of [531470, 531400, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(2771, 531472, F27, 17) (dual of [531472, 531401, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(2769, 531470, F27, 16) (dual of [531470, 531401, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(2781, 531480, F27, 19) (dual of [531480, 531399, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(2782, 531483, F27, 19) (dual of [531483, 531401, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(2792, 531490, F27, 21) (dual of [531490, 531398, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(2793, 531494, F27, 21) (dual of [531494, 531401, 22]-code) | [i] | ✔ | |